To appear in Evolutionary Programming V: Proceedings of the Fifth Annual Conference on Evolutionary Programming, Cambridge, MA: The MIT Press. 1996. Symbionticism and Complex Adaptive Systems I: Implications of Having Symbiosis Occur in Nature Jason M. Daida, Catherine S. Grasso, Stephen A. Stanhope, and Steven J. Ross The University of Michigan Artificial Intelligence Laboratory and the Space Physics Research Laboratory 2455 Hayward Avenue, Ann Arbor, Michigan 48109-2143 USA (313) 747-4581 work, (313) 764-5137 fax, [email protected] Abstract Over the past several years, there has been an increasing interest in the biological phenomena of symbiosis by those in complex adaptive systems and evolutionary computation. We describe in this paper some of the caveats involved in modeling or using biological symbiosis as a computational metaphor. We specifically consider some of the common philosophical viewpoints on symbiosis and comment on the appropriateness of these viewpoints for use in complex adaptive systems and evolutionary computation. 1. Introduction 1.1 Background Nature—as the saying goes—is red in tooth and claw, in part because of the natural selection. A key principle of evolutionary biology and Neo-Darwinism, natural selection has evoked themes of struggle, survival, competition, and warfare. Nature is not a benign place—it is a “jungle” out there—and given any of its recent metaphors, nature is not ordered according to the weak, but to the strong. In nature, symbiosis occurs. Symbiosis—as initially defined in 1879 by Anton de Bary—involves the living together of organisms from different species.1 Occasionally, such life together results in detriment to one of the partner species, as in parasitism. The larger struggles implicit in nature become reflected in the smaller struggles that occur in close quarters between parasitic symbionts and hosts. From this perspective, symbiosis mirrors the “redness” of nature. Occasionally, however, such life together results in cooperation: as in commensalism, when only one species benefits without a significant effect on its partner species; or as in mutualism, when both partner species benefit. The altruistic outcome seems anomalous in either case. Yet at the risk of over-dramatization, one could explain such cooperative symbioses as that of strange bedfellows arising out of extenuating circumstances In that sense, “weak” species can gain an advantage by forging alliances and creating a synergy of complementary strengths to subdue a common adversary. If such wartime logic was appropriate, these alliances-of-necessity would likely be fleeting, and the struggle for survival would return as the norm upon disappearance of a common foe. 1 Zusammenleben ungleichnamiger Organismen. [16] Preprint Although the “redness” of nature can yield a picture that illuminates symbiosis, is it a correct description? Is symbiosis no more than an aspect of natural selection? This paper explores the implications of having symbiosis occur in nature and the ramifications of those implications in studies involving complex adaptive systems and evolutionary computation. 1.2 Brief Terminology Throughout this paper, we use the following definitions, unless otherwise noted: Symbiosis. Relationships that are constant and intimate between dissimilar species. Note that by “constant and intimate,” we exclude purely ecological interactions. By “species,” we include organisms and microbial life forms (e.g., protoctists and bacteria). As in [76], we denote symbiosis as inclusive of mutualism, commensalism, and parasitism. These three terms have been commonly used to classify types of symbiosis and presume that a symbiotic partnership can be measured in a cost-benefit framework. In particular, these terms have usually denoted the following: a mutualistic symbiosis 2 describes a relationship in which all organisms involved derive benefit; a commensalism, a symbiosis in which one organism benefits without any other apparent benefit or cost to the other members of the association; and a parasitic symbiosis3, a relationship in which one organism benefits at the cost to the other members. Symbionticism. A class of theories that focuses on symbiosis as an evolutionary process (e.g., [51, 84]). 1.3 Overall Problem Statement Unlike natural selection, the role and functionality of symbiosis is still a contested topic that does not have an overall consensus within the communities of the biological sciences. Part of this lack of consensus stems from an inadequate theoretical treatment of symbiosis. Another part of this lack of consensus stems not so much from science discourse than with philosophical outlook. Conflicting interpretations of available empirical evidence—from paleontological records to field observations to laboratory experiments—also plays a role in 2 We do make a distinction between mutualism and mutualistic symbioses. Mutualism describes any relationship between dissimilar species that involve cooperation, regardless of the duration of that relationship. A mutualistic symbiosis is a type of mutualism that involves a prolonged and intimate association between all members. 3 We make a similar distinction between parasitism and parasitic symbioses. 1 Symbionticism and Complex Adaptive Systems I this lack of consensus. Subsequently, many of the communities in the biological sciences have been divided into several camps on this topic. These camps include those who believe that symbiosis • represents no significance to evolution (which may likely represent the majority opinion in evolutionary biology). • represents a rare accident that may have once resulted in something significant, but has not amounted to anything since then. • represents a significant evolutionary force. ◆ In the fields of complex adaptive systems and evolutionary computation, a growing minority of researchers have been borrowing metaphors from research in symbiosis. We concur that although the idea of symbioses is germane to work in these fields, there exist significant caveats either in adopting symbiosis as a computational metaphor or in modeling symbiosis as an aspect of complex adaptive systems. We contend that comparisons between various models of symbiosis in evolution does require an awareness of the philosophy behind each model. We further contend that contributions to evolutionary biology given a particular symbiosis model can be compromised if attention is not paid to the philosophical source of each metaphor. Finally, we contend that minor modifications in a definition of symbioses could have broad and far reaching ramifications for theoretical and evolutionary biology, as well as for complex adaptive systems and evolutionary computation. The purpose of this paper is to focus on a part of this problem statement. We specifically concentrate on the meaning (i.e., role and functionality) of symbiosis in theoretical biology. We then compare those meanings with the phenomena of symbiosis as it occurs in the here and now (as opposed to including symbioses from other ages). In particular, in Section 2, we examine some of the previous work in complex adaptive systems and evolutionary computation. We examine in Section 3 how the meaning of symbiosis does change depending on a person’s philosophical viewpoint and how some of these meanings are not always grounded in the actual phenomena. In Section 4, we suggest a viewpoint that would be suitable for work in complex adaptive systems and evolutionary computation. We leave for another paper the ramifications of symbiosis in an evolutionary context. 2.0 Brief Survey of Previous Work Several themes in complex adaptive systems and evolutionary computation that feature symbiosis have appeared in the literature over the past several years. These themes have included: • investigating fundamental roles of symbiosis in evolution by modeling symbiont-host interactions. • broadening the first theme by modeling symbiosis in the context of evolving ecosystems, which include several other types of interaction. • treating symbiosis as a metaphor for computation and crafting algorithms accordingly to solve problems in engineering and technology. Preprint Daida et al. • in an almost separate tradition, investigating either the fundamental role of parasitism in evolution or treating parasitism as a metaphor for computation. • investigating viruses—mostly as a metaphor for computation and mostly in a context separate from aforementioned themes of symbiosis and parasitism. (Although viruses are not usually considered organisms, the current distinction between computational “viruses” and “parasites” is ambiguous and arbitrary.) • investigating and adopting as computational metaphors other biological phenomena that researchers have considered symbiosis, but technically fall outside of de Bary’s definition. The following paragraphs survey the work under each theme. Note that even in this cursory survey that symbiosis is not evenly treated and that isolated traditions have already occurred depending on what aspect of symbiosis is being described. Although this treatment is not by itself noteworthy, we have been concerned with a growing tendency for researchers to claim that the essence of symbiosis is being modeled, without recognizing that there are aspects of symbiosis that have not been necessarily considered in their formulation. A few papers have focused on investigating the fundamental role of symbiosis by modeling symbiont-host interactions. Many of these papers have subsequently concentrated on the co-evolutionary aspect of symbiosis, including [6, 64]. This particular focus on co-evolution often involves Valen’s hypothesis of the Red-Queen’s Race4 [81]. Several papers have broadened the first theme by studying symbiosis in the context of artificial computational ecologies. These ecologies are not usually premised on symbiosis alone and can usually demonstrate other types of interaction (e.g., predatory-prey). This includes Holland’s Echo [32, 33], Skipper’s Zoo [75], and Taylor’s RAM [78]. Of these approaches, only RAM has been used by biologists to model a specific animal-plant system.5 While investigation of the fundamental roles of symbiosis can offer insight regarding the place of symbiosis in evolution, others have sought to leverage principles gleaned from biological symbiosis by applying such principles to solve engineering problems. A few of these works are theoretical in nature (e.g., [14]). Some works focus on developing a computational analog for a particular aspect of symbiosis (e.g., [73]). Other works describe a symbiotic algorithm (e.g., [67]) or describe other algorithms that have embedded in them abstracted principles of symbiosis (e.g., [7], [13]). In an almost separate tradition, a significant body of work has focused on parasitism. Those who have investigated parasitism do not necessarily contend that any other aspect of symbiosis is of significance in evolution. This body of work includes fundamental investigations, as in Ikegami and Kaneko’s [35] work on parasites and co-evolution, Maley’s [49] work on virulence modeling, or as in work featuring 4 The Red Queen’s Race alludes to a game in L. Carroll’s story Through the Looking Glass that required contestants to run just to stay in place. 5 A Hydra/Chlorella symbiosis was modeled [61, 79]. See also the computer simulation by [59]. 2 Symbionticism and Complex Adaptive Systems I computational ecologies such as TIERRA [70], EVOLVE [65] and BABEL [72] represent other models of parasites. Of these, TIERRA is arguably the most well known. Another computational ecology, DARWIN, is possibly the oldest artificial ecology that pre-dates TIERRA and Core Wars. One of DARWIN’s “famous” inhabitants was a parasite. (See popular accounts in [18] and [44].) On a separate note, work concerning this tradition includes treatment of parasitism as a means of fostering robustness in engineering solutions. Of these, Hillis’s [31, 30] work has been often mentioned. Also as a separate tradition, another body of work has focused on viruses. (Viruses are not usually considered organisms and subsequently are not classified as being symbiotic. Still, the mechanisms that determine infection and reproduction in computer viruses have much in common with biological parasites. For example, the difference between a TIERRA parasite and a computer virus is moot.) Those who have investigated viruses do not necessarily contend that it has anything to do with either symbiosis or evolution. Key works concerning viruses include Cohen’s dissertation [10], and subsequent discussions [17, 77] of computer viruses as a form of artificial life. Not surprisingly, there has been discussion of developing biologically inspired immune systems for computers [41]. Finally, investigating and adopting as computational metaphors other biological phenomena that researchers have considered symbiosis, but technically fall outside of de Bary’s definition. Using an unusual sense of the term parasitism, Toquenaga [80] has described “information” parasitism. Other investigators have used a somewhat relaxed definition of symbiosis. For example, Ono [66] has designed a “symbiotic” computational ecology that models bees and flowering plants 6. (Ono defines symbiosis as tantamount to mutualism). Furthermore, others have relaxed de Bary’s definition by extending his definition to include interactions that treat organic molecules as either host or symbiont.7 Such work includes Wong’s [86] simulations of prebiotic molecules, and Boerlijst’s [2, 3] work in hypercycles and prebiotic molecules. 3. Symbiosis and Biology In further understanding symbiosis in the context of complex adaptive systems and evolutionary computation, we need to consider the phenomenology of symbiosis in the context of the biological sciences. The biological sciences provide, among other things, abstractions of biological phenomena that can be adopted for use in evolutionary computation and complex adaptive systems. However, even the most objective of these abstractions can often contain biases. Such biases depend on a number of factors, ranging from the nomenclature and conventions in a given subfield to philosophical constraints for a given belief system. Normally, such biases are fairly transparent within subfields, in which nomenclature, convention, practice, and 6 Technically, bees and flowering plants have a mutualistic relationship, but not a symbiotic one because individual bees do not live together in intimate association with an individual plant. 7 This extension to de Bary’s definition has also occurred in the biological sciences. See [63]. Preprint Daida et al. philosophy are usually complementary to each other. Such complementariness is not easily the case with symbiosis. This section describes some of the difficulties in describing symbiosis in the biological sciences. 3.1 Symbiosis in Theoretical Biology What is symbiosis? What are the consequences of being in symbiosis? From a qualitative perspective, de Bary’s definition is descriptive and sufficient for many subdisciplines in the biological sciences. In particular, his definition allows one to identify what is and what is not in symbiosis. For example, under de Bary’s definition, legumes and the nitrogen-fixing bacteria that inhabit their roots are in symbiosis; rabbits and the foxes that prey on them are not. From a theoretical perspective, however, de Bary’s definition allows room for interpretation. Unlike natural selection, which points to a sifting mechanism, mutation, which points to a change mechanism, and genetic crossover, which points to another type of change mechanism, symbiosis points to a type of relationship. Mechanisms are amenable to a functional notational description—i.e., a mathematical operator; relationships, on the other hand, are not so easily abstracted. Relationships can either be defined in terms of states or operators. For example, a marriage relationship has traditionally been referred to as a state (as in, “a state of being married,” which in some cultures would follow “a state of being in love”). In contrast, some judicial courts recognize common-law marriages, which uses an operational definition, i.e., “co-habitating together.” Although there exists a substantial amount of overlap in either state or operation between traditional and common-law marriages, the two definitions are not equivalent—at least according to more than a few parents. Consequently, depending on what one believes that symbiosis is, one presupposes either of the following underlying questions. If one sees symbiosis as a state, one asks the question “What are the characteristics that distinguish symbiosis from any other type of relationship?” If one sees symbiosis as an operator, one asks “What are the implicit mechanisms (operators) that determine a symbiotic relationship?” Although much of the work in symbiosis has emphasized symbiosis as a state, 8 both underlying questions have been addressed in theoretical biology9 at one time or another, For example, much of the early work from around 1935 features lumped-parameter models (usually Lotka-Volterra), which consists of systems of differential equations that describe logistics (populations) of interacting species. (See [4, 12, 85].) Traditionally, in the lumped-parameter models, species interact by competing with or preying upon each other. It is possible, however, to model a “state of cooperation” by 8 We have ommitted mention of many of the work that examines symbiosis, but does not necessarily contribute to complex adaptive systems, artificial life, and evolutionary computation. Much of that work is specific to biology (as in the MacArthur-Wilson Model in [12]) or to a particular symbiotic system (e.g., [68]). 9 For the purposes of this paper, we use the term theoretical biology to encompass mathematical and computational work in ecology, population, population genetics, and evolution. 3 Symbionticism and Complex Adaptive Systems I reversing the arithmetic signs of a model’s integration coefficients.10 Note that this state does not map directly into de Bary’s definition of symbiosis. In other words, this state includes non-symbiotic mutualisms, but excludes other aspects of de Bary’s symbiosis (e.g., parasitism). In a sense, what becomes interesting about symbiosis is not so much that organisms live together, but rather that they cooperate. 11 Not surprisingly over the years, some biologists have come to regard “symbiosis” as being tantamount to “mutualism.”12 There are some recent theoretical works that have considered symbiosis an operator or set of operators. Works by Maynard Smith [56, 57] abstracts symbiosis in terms general enough for research in complex adaptive systems and evolutionary computation. He has regarded symbiosis as an evolutionary mechanism for increasing complexity by way of compartmentalization of genomes from different species, followed by synchronized replication of those genomes. In at least three different ways, Maynard Smith and others 13 have departed from the conventional wisdom by treating symbiosis as a kind of operator. First, they have extended de Bary’s definition to include all organic forms— not just organisms—that employ operators associated with symbiosis. This extension would then include non-organismic entities such as viruses, plasmids (circular strands of extrachromosomal DNA), and viroids (naked strands of RNA). (See [63].) Second, they have decoupled the meaning between “mutualism” and “symbiosis.” Not only is mutualism considered distinct from symbiosis, but some have posited that merely “living together” does not necessarily result in mutualism (e.g., [20]). Third, they consider the cost-benefit terms that characterize the kinds of interaction between symbionts and hosts—i.e., mutualism, commensalism, and parasitism—as sufficient but not necessary properties in describing symbiosis. Ultimately, what is of interest is not that a relationship is mutualistic (or parasitic, or commensal), but in the operations and the use of those operators that enable dissimilar species to intimately associate with each other over evolutionary significant durations.14 ◆ We can mention a few other differences between the viewpoints of symbiosis as state or operator. One difference is in the treatment of time scales. Lumped-parameter (LotkaVolterra) models developed under a symbiosis-as-state 10 Even though operators were involved, symbiosis was still treated as a state and not as an operator. If instead an operater was to have been emphasized, a parameter list would have needed to have been specified—i.e., causality would have needed to be established within a given model, rather than being established arbritrarily from the person specifying the model. 11 For example, Wolin subsumes symbiosis under mutualism— e.g., “The duration and intimacy of association also varies between interactions: some mutualists are symbiotic, that is, live together, while others are free-living.” ([85], p. 249) 12 For example, Dawkins succinctly states, “A relationship of mutual benefit between members of different species is called mutualism or symbiosis.” ([15], p. 181) 13 Like [27], which presents a case for symbioses being another type of mutation. Note that, although the author is not a theoretical biologist, per se, his paper is theoretical in scope. 14 Also referred to as evolutionary stable strategies. See [58]. Preprint Daida et al. viewpoint often hold constant or ignore those conditions and mechanisms normally associated with evolutionary change (e.g., natural selection). Although one could extend the conclusions drawn from such models to evolution, such models are more appropriately used to describe interactions over ecologically significant time scales. On the other hand, Models developed under a symbiosis-as-operator viewpoint have concentrated more on the processes that operate on evolutionary significant time scales.15 Another, perhaps more significant difference is the treatment of the cost-benefit properties of symbiosis as deterministic rather than emergent, corresponding to symbiosis-as-state and symbiosis-as-operator viewpoints, respectively. The distinction between deterministic and emergent treatments can be illustrated in how one describes a cost-benefit property—say, mutualism. If one considers mutualism to be a deterministic property for symbiosis to occur, one would likely believe that a need for members to cooperate is what drives them to cooperate. Game theoretic descriptions of cooperation and defections would then apply, as mutualism becomes just one of several strategies between interacting members. In that sense, by adopting a strategy of alliances, “weak” species can gain an advantage to subdue a common adversary or to live in an otherwise hostile environment. If, on the other hand, one considers mutualism to be an emergent property, one would likely believe that cooperation is a by-product of interaction. Members can interact by chance or by need, but singly taken, each low-level interaction between members (e.g., an exchange of nutrients) would not necessarily have an intrinsic cost-benefit value. In that sense, species could continue to remain in symbiosis regardless of cost-benefit outcome. ◆ We mentioned earlier that there appears to be an almost separate tradition in complex adaptive systems and evolutionary computation of treating parasitism as a theme distinct from symbiosis. Not surprisingly, this situation mirrors what has happened in the biological sciences. There exists a sizable community of biologists that has treated parasitic associations as distinct from symbiosis (as noted in [19]). This distinction has appeared implicitly in their works as tacit omissions of symbiosis. In theoretical biology, such works include [43, 55], which highlights the disease aspect of parasitism; [54], which challenges conventional wisdom on the evolution of virulence; and [25, 26], which discuss the role of parasitism in the evolution of sex. This distinction has also appeared explicitly, as in [15], which treats parasitism and “symbiosis” (though “mutualism” was meant) as separate cases in evolution. 15 Nonetheless, we do note that the time-scale differences between these current tendencies—for symbiosis-as-state models to emphasize ecologically significant time scales versus symbiosis-as-operator models to emphasize evolutionary signficant time scales—might eventually be moot. In particular, individual-based models (e.g., cellular-automata simulations) can and have been increasingly used to support either viewpoint. 4 Symbionticism and Complex Adaptive Systems I Given that nearly all parasites live in close association with their hosts,16 this distinction is a consequence of treating symbiosis as a state. As in the case of mutualism, where some have regarded the state of cooperation as paramount, in the case of parasitism, some have regarded the state of disease as paramount. In considering the state of disease as paramount, one could augment the de Bary’s scope of parasitism to include non-organisms like viruses. We can see this augmentation in works like [54], which broadly defines parasites to include “viruses, bacteria and protozoa’s along with the more conventionally defined helminth and arthropod parasites.” If one then further considers that disease is a state that afflicts humans, one can intuitively understand why it is disease and not symbiosis that receives a lion’s share of attention in the larger context of the biological (medical) sciences. 3.2 The Biology of Symbiosis What is symbiosis? What are the consequences of being in symbiosis? In theory, according to the previous section, symbiosis is a type of relationship that describes a protracted and intimate association between dissimilar species, which subsequently can be abstracted in terms of either a state or operator. To address which of these viewpoints (state or operator) is the more appropriate of the two, we need to consider how symbiosis occurs in nature—the biology of symbiosis. Therefore in considering the biology of symbiosis, we ask two further questions: Where does one look in nature? What does one find? Although these questions may seem fairly straightforward, the answers are not.. The primary confound here lies in the large variety of symbiotic systems that can be found in nature. Where does one look in nature? When we consider where to look in nature for symbiosis, a few examples may come to mind. For instance, we may think of small fish that clean the mouths of larger carnivorous fish. Others may think of lichens, which is an association between unicellular plants and fungus. Others may also think of particular plants, like soybeans, which use bacteria in their roots to help “breathe” nitrogen. While all of these examples fall under de Bary’s definition of symbiosis, they do not by themselves offer direction as to where to look in nature for the phenomena. Of course, we could also solicit another’s opinion on where to look. However, when we do so, we need to recognize that that person’s response is subject to philosophical bias. This is a consequence of the fact that where one decides to look in nature for symbiosis is dependent on what one expects of the phenomena. The following paragraphs briefly recapitulate an informal cross-section of perspectives on symbiosis and subsequent decisions as to where to find the phenomena. 16 There are some parasites that do not live in close association with their hosts. For example, mosquitoes are to mammals as bees are to flowers. Preprint Daida et al. 1. Symbioses are relatively rare or as Keller states, symbioses are nothing more than “special cases” ([40], 71).17 With this perspective, one could reasonably surmise that one best looks for symbioses in the uncommon places. We note that this perspective is usually associated with those who treat symbiosis as a state of mutualism and who believe that mutualism is the (rare) exception to natural selection and competition. 2. “Symbiotic relationships…are common….” ([15]. p. 181). With this perspective, one could reasonably surmise that one does not have to look too hard to find a symbiotic association. We note that this perspective has often been generally associated with those who treat symbiosis as a state of mutualism and who believe that mutualism is a general phenomenon. (e.g., nature is instead “green in root and flower.”). We further note that this perspective says little about one’s view on the role of symbiosis in evolution. We have noted another concurrent and complementary perspective that prevails among biologists, but only mention it briefly here because this perspective shares much in common with those who see mutualism as a common phenomenon. This perspective maintains that parasitic relationships are common. This perspective has been associated with at least two groups of biologists. One group treats symbiosis (mutualism) as a state that is distinct from parasitism (another state) and that parasitism is a general phenomenon. Another group treats symbiosis as an evolutionary operator that is distinct from symbiosis (mutualism) as a state. (Here the role of parasitism is seen by some to provide a basis for macroevolution For example, the strategy of sexual reproduction could be a result of parasitism [25, 26]). 3. “Symbiosis…is a universal phenomenon. There are practically no plants or animals free of symbionts living on or in them.” ([69], p. 381) With this perspective, one could reasonably surmise that wherever one finds organisms, one would find evidence of a symbiotic association. The conceptual jump from common to universal phenomenon is nontrivial, especially if one does not relax de Bary’s original definition.18 It would imply that every form of life that we see on a day-to-day basis is likely to be in a symbiotic association. We note that this perspective is usually associated with those who treat symbiosis as an operator or a class of operators. The cost-benefit characteristics of mutualism or parasitism 17 In arguing that conpetitive interactions are the norm in the natural world, Keller did entertain the alternative hypothesis of symbiosis/mutualism, but also indicated that symbiosis/mutualism is of little consequence. She said, “These, of course, are the kinds of interactions that are generally categorized as special cases: ‘mutualist,’ ‘cooperative,’ or ‘symbiotic.’ The view of these as special cases tends to persist even in the most recent literature, where a new wave of interest in mutualism can be detected among not only dissident but even a few mainstream biologists.” ([40], p. 71). 18 A significant modification to de Bary’s definition has been to relax the requirement of having the associations occur in close proximity to each other. In this way some have extended the definition of symbiosis to include ecological interactions. Usage of this relaxed definition has also figured prominently in discussion of the Gaia Hypothesis [48]. 5 Symbionticism and Complex Adaptive Systems I that define much of what people expect to see is secondary in importance to the kinds of interactions that occur during symbiosis. It certainly becomes possible then, to have a symbiotic relationship, even if the cost-benefit characterization of that relationship remains ambiguous. What does one find? If one looks through the aforementioned perspectives, one would likely find what one seeks. Symbioses do occur in rare, seldom seen organisms. To be certain, symbiosis has been used in many organisms as a source of novel metabolic capabilities, which enables organisms to live in otherwise hostile and extraordinary environments. One would have to travel to the “far corners of the earth,” like the polar deserts or the ocean floors, to find some of these organisms. And yet, this same source of novel metabolic capabilities also allows organisms to live in mundane surroundings. We could look no farther than our backyard to find an organism in symbiosis. The following paragraphs highlight two symbiotic species. The first reinforces the notion that symbioses are rare, special cases since these species are seldom seen and are found in extremely inaccessible environments. The second reinforces the notion that symbioses are common, even universal phenomena because this species is well acquainted by most. The first highlighted species lives on the ocean floor by hydrothermal vents. Although these vents do warm an otherwise cold environment, the environment in and around these vents could be considered hostile to most life, especially since these vents often release substantial amounts of sulfides (including hydrogen sulfide19). Sulfides are highly toxic to organisms with oxygen metabolisms, since these chemical compounds usually block the ability of an organism to use oxygen. It is in this environment that there can be found dense and thriving communities of tube worms, as well as clams and other organisms. A hydrothermal vent can serve as a kind of ecological oasis in an otherwise sparsely populated ocean floor. What is noteworthy about these tube worms and the other organisms around these vents is that they have not substituted the heat from hydrothermal vents for sunlight, but instead have evolved sulfur-based (thiotrophic) metabolisms that are a direct consequence of these organisms’ symbiosis with sulfuroxidizing (chemoautotrophic) bacteria. Indeed, a hydrothermal vent tube worm (e.g., Riftia pachyptila) can grow up to several feet long and is thought to derive most of its nutrients, as well as its ability to metabolize hydrogen sulfide, from symbiotic bacteria that live in what would otherwise be its gut. [83] The second highlighted species is us—i.e., Homo sapiens. Intuitively, we do not seem symbiotic with anything else—at least not in de Bary’s sense. We do not seem to live in prolonged and intimate contact with other organisms (at least we try not too). We derive our nutritional and metabolic needs from the foods we eat and the air we breathe, instead of relying on a symbiotic association to furnish these needs. Still, symbiosis is very much a part of the human existence. In particular, humans remain in symbiosis with bacteria throughout most of their lifetime. Some of these bacteria have 19 Hydrogen sulfide is a more poisonous than cyanide, a chemical used in gas chambers. [11] Preprint Daida et al. a known cost-benefit characterization; others do not. Many of these bacteria live in the intestines. As Garrett has observed, there are more bacteria (mostly Esherichia coli)per square inch of intestinal lining than there are people in New York City. [23]. We can appreciate the abundance of symbiotic bacteria in an intestine by noting that a third of the solid matter of human feces consists of bacteria. ◆ We can perceive symbiosis as being as rare as a tube worm that lives on the ocean floor to being as familiar as a neighbor across the street. However, regardless of the philosophical constraints on one’s perception, the phenomena of symbiosis occurs commonly, perhaps even universally in nature. The very commonality of the phenomena of one organism living in close and intimate association with another would suggest a pervasiveness of the phenomena. We can gain an appreciation of just how pervasive the phenomena is by considering the kinds of symbioses that just one host can accommodate. To illustrate this, we describe in the following paragraphs some of the other symbiotic associations that affect people. Admittedly, some of symbiotic associations that humans experience are fairly exotic. Isak documents a mutualistic symbiosis between aborigines in Africa and a species of bird known as a honeyguide [36]. In this relationship, honeyguides lead honey gatherers to bee hives, upon which the gathers break into these hives to collect honey. The honeyguides later exploit the damage that the gatherers did to the hives to gain access to food. Nonetheless, most of these other associations are fairly common. Humans play host to a number of parasites ranging from foot fungus to hair lice to fleas. Humans play host to an even greater number of internal microbes, which are responsible for the diseases like dysentery, tuberculosis, staph, pneumonia, strep and cholera [23]. Still, many of us would like to think of ourselves as relatively disease- and parasite-free. Subsequently, although disease and parasitism may be common, it is not a way of life for a number of people in developed countries. Even more pervasive associations involve only remnants or other organisms by now. The prevailing hypothesis that explains the origin of true nucleated cells (eukaryotes) is serial endosymbiotic theory (SET), championed by Margulis[50] [52]. That eukaryotes were the result of symbiotic associations of early bacteria (prokaryotes, or cells with no nucleus) was not a new idea (see [84]). However in the 1960s, Margulis provided the first testable hypothesis to demonstrate this. A large body of evidence now exists that validates SET. Humans, of course, are eukaryotes. ◆ We observe in the above example that there are a number of different types of symbiotic interactions. Some involve internal interactions, like bacteria in human intestines. Some of these interactions have seem to lead to and integration of genotypes, as suggested in serial endosymbiotic theory. Others appear to be purely behavioral, as in a honeyguide/honey gatherer symbiosis. Each of these symbioses satisfies de Bary’s definition, yet it becomes apparent that just one state or one operation would be inadequate to describe symbiosis. Indeed, if we e xamine an even broader range of symbiotic associations, we would find a range of groupings that can be arranged 6 Symbionticism and Complex Adaptive Systems I Endosymbiotic Total Integration Organelle Adoption Plasmid Adoption Gene Transfer Plastid “Symbiosis” Endonuclear Daida et al. Ecological Interaction Ectosymbiotic Attachment Behavioral Predator-Prey Herbivore-Plant Intracellular Intercellular Extracellular Figure 1. Continuum of interaction between dissimilar species. according to just how closely dissimilar species interact. In a sense, there exists a continuum of interaction and physical proximity for all associations—both ecological and symbiotic Figure 1 shows this continuum, which ranges from behavioral and ecological interactions (on one end) to total incorporation of a symbiont’s genomic information into a host’s nucleic DNA (on the other end).20 The following paragraphs highlight some of the grouping shown in Figure 1. For further information, we refer to [5, 19, 29, 28, 76]. There are two broad groupings of symbioses: those in which a symbiont remains outside a host (ectosymbioses) and those in which a symbiont lives mostly inside a host (endosymbioses). Behavioral Symbioses. This type of ectosymbiosis is common between animal-animal systems and is usually characterized by some form of specialized communication and behavior. Examples are cleaning fish and their larger hosts (e.g., predatory eels, sharks, sea anemone) [47, 53]. Attachment Symbioses. 21 This type of ectosymbiosis involves a symbiont either permanently or semi-permanently attaching itself to a host. Examples include epiphytes (plants that grow on other plants as a parasite for light and sometimes for nutrients: e.g., mistletoe) [74]. Sea anemones that ride on the shells of hermit crabs are another. Extracellular Symbiosis. This type of endosymbiosis consists of symbionts that live within cavities internal to a host (e.g., like tapeworms) or between cells in host tissue. The latter type of extracellular symbiosis is called intercellular symbiosis, as in typified by some lichens [34]. Intracellular Symbioses. This type of endosymbiosis is established by a remarkably similar set of processes over a diverse range of systems [60, 61].The inhabiting symbiont must enter a host cell, avoid digestion, preserve host-cell functions essential to it, reproduce within the host cell, and survive transit to host offspring. Examples include unicellular algae living within animals [5] and human viral infections [23]. Endonuclear symbiosis is a subtype of intracellular symbiosis that describes those situations in which the symbiont inhabits a host’s nucleus (e.g., [24]). 20 We should emphasize here that this continuum does not represent a series of evolutionary stages by which genotypes are integrated. All this continuum represents is the kinds of symbiotic interactions that can be found in nature at present. 21 Both attachment and behaviorial symbiosis are our terms. All the other terms are nomenclature in biology. Preprint Plastid Symbiosis (also called Keptoplasty). This type of endosymbiosis refers to retention of only a symbiont’s plastids, as opposed to whole symbionts [42]. Plastids refer to specialized compartments within a cell and are to plant cells as organs are to multicellular organisms. This type of symbiosis includes marine organisms responsible for the “red tide” [45], in addition to a few species of mollusks [9]. Many plastid symbioses are unstable. The notable exceptions to unstable plastid symbioses are the fairly stable associations concerning the red-tide organisms, otherwise called a plastic species. Gene Transfer . This term does not describe endosymbioses per se, but instead denotes a class of transfer mechanisms of genomic information between symbiotic partners [1]. Usually the symbiosis is intracellular, but not necessarily a plastid or a endonuclear symbiosis. Noteworthy exceptions are horizontal transfers between bacteria species and at least one example involving an extracellular parasite. Agents of such mechanisms include episomes [8] and “promiscuous DNA” [22, 39]. Examples include the phenomena of rapid conferral of multiple-drug (antibiotic) resistance to various bacteria species (e.g., those species that cause staph, dysentery, cholera). 4. Consequences Given the situation outlined in the previous section, one can guess at the potential for confusion for researchers in complex adaptive systems and evolutionary computation. Current work in theoretical biology could suggest to some the possibility of expressing one complex adaptive model or one computational algorithm to capture all of symbiosis—either as biological phenomena or as a computational metaphor—as an achievable goal. An examination of the biology of symbiosis would suggest otherwise. Furthermore, current works in the biological sciences do contain particular biases on viewing what symbiosis is, particularly concerning whether symbiosis is a state or whether it is an operator. These works do not always mention which viewpoint of symbiosis is being employed. This could potentially lead to situations in which a researcher in complex adaptive systems or evolutionary computation borrows existing concepts from both symbiosis-as-state and symbiosis-asoperator viewpoints without addressing what could amount to mixing irreconcilable philosophical differences between these viewpoints. ◆ Philosophical differences aside, there remains the matter of deciding which of the two viewpoints are the most appropriate for those in complex adaptive systems and evolutionary computation. To address this matter, we highlight three other cases of symbiosis. In all of these cases, the basic interactions that come from living together in close and intimate contact does not change. What does change are the cost-benefit states of mutualism, commensalism, or parasitism. Green Hydra . Hydra belong to the same class of organisms that includes jellyfish and sea anemones. The term green hydra refers to those species of hydra that are in symbiosis with algae (usually a Chlorella species). These hydra (like other hydra species) live in fresh water and prey on small planktonic organisms (like daphnia). Green hydra may live with or without their symbiont algae. 7 Symbionticism and Complex Adaptive Systems I Experiments by Douglas and Smith [21] have shown that green hydra with symbionts live significantly longer than those without symbionts if there are no prey, provided that the hydra have ample light (i.e., hydra benefit). The cost-benefit characterization changes when green hydra are fed and live in light. In this situation, the population of green hydra with symbionts i ncreases at nearly the same rate as green hydra without symbionts (i.e., no apparent benefit). The cost-benefit characterization changes again when green hydra are fed and live in the dark. In this last case, the green hydra with symbionts grows significantly slower than the green hydra without symbionts (i.e., hydra are harmed). Legumes and Bacteria Symbiosis. Legumes encompass many of the species that are cultivated for food (i.e., bean crops). Most legumes live in symbiosis with rhizobia bacteria, which inhabit specialized structures (nodules) that form on the roots of legumes. It is well known that rhizobia bacteria enable legumes to use the nitrogen in the air, rather than relying on the nitrogen compounds that come with rich soils. (See, for example [46, 62, 82].)This, in turn, allows the legumes to grow in fairly poor soils (i.e., legumes benefit). However, certain symbiotic bacteria can turn parasitic if the soil becomes deficient in boron (i.e., legumes are harmed). Amoebae and x-Bacteria. The particular organisms involved are what has been an amoebae species (i.e., the D strain of Amoeba proteus) and x-bacteria, which are an unknown species of bacteria that are rod-shaped and Gram-negative. Jeon [38, 37] reports that a number of D strain Amoeba proteus became infected with x-bacteria in 1966. Most of the newly infected amoebae died (i.e., amoebae are harmed). However, some of the amoebae survived. In several years, the descendants of the originally infected amoebae have subsequently become dependent on having x-bacterial to survive (even though the cost-benefit to the amoebae is neither a direct benefit nor harm). Furthermore, the new strain now has a distinctly different cellular character than the original D strain. The differences are great enough that there is compelling evidence to support the claim that this symbiotic strain of Amoeba proteus constitutes a new species. In each of these three cases, the fundamental symbiotic association has not changed, but instead the cost-benefit characterization has. Further examination of highlighted cases—particularly the green hydra and the legume cases— would indicate that the low-level primary interactions between host and symbiont have not been radically altered even when the overall cost-benefit characterization changes. Even in the third case, where the organisms have likely changed the nature of their interactions, the cost-benefit characterization normally cited as the reason for establishing a symbiotic association is not readily apparent. In particular, it is one thing for an organism to develop a tolerance or an infectious species to become less virulent. It is quite another thing for a host species to co-opt another so that the co-opted species become as a kind of organelle. All three cases collectively refute the claim that a particular cost-benefit characterization is intrinsic to a symbiotic association. All three cases collectively support the contention that the cost-benefit characterizations are emergent, rather than deterministic properties. Preprint Daida et al. A sample consisting of three cases does not by itself validate the viewpoint of symbiosis-as-operator—it only suggests that this viewpoint is so. We subsequently point out that the validity of the viewpoint of symbiosis-as-operator has been recently addressed by several biologists in greater detail than is afforded in this paper. To mention a few, we note that Reisser has preferred a functional (operational) definition [71] to accommodate changes in ultrastructure, physiology, or genetics. Douglas [19] has contended that what is paramount in symbiotic associations are not cost-benefit states, but interactions (operations). Margulis [51] has championed the view that symbiosis is a source of evolutionary innovation; that symbiosis is a kind of operator that is equal in significance to natural selection. 5 Conclusions This paper has addressed some of the issues at large in integrating the concept of symbiosis into the fields of complex adaptive systems and evolutionary computation. We have noted some of the caveats involved in borrowing metaphors from the biological sciences when concerning these phenomena. We have indicated the potential for confusion if care is not taken in understanding. This particular paper has concentrated mostly on symbiosis as it occurs presently in nature, rather than symbiosis as it occurs in the context of evolution. We have shown that some of the issues that concern us involve the questions having to do with “what is symbiosis?” and “what are the consequences of being in symbiosis?” We have attempted to show the ubiquity of the phenomena; that symbiosis is not restricted to special and rare cases, but instead germane to much of life. We have also attempted to show that there are at least two distinct ways in which to view symbiosis—as a state or as an operator—and that these viewpoints are pervasive in the biological sciences. We have contended that at least for complex adaptive systems and evolutionary computation, the more appropriate view is that symbiosis is a kind of operator. Although we have not in this paper addressed the question “Is symbiosis no more than an aspect of natural selection?” we have established a foundation for which the two can be compared. We have left for another paper the implications of having symbiosis occur in the context of evolution. ■ Acknowledgments The authors thank the conference organizers for inviting us to deliver this paper. We gratefully acknowledge the following individuals for the correspondence and dialogue that have helped to shape the biological sciences discussion of this paper: C.A. Bloch, F.L. Bookstein, L.R. McCloskey, M.J. McFallNgai, L. Margulis, E.G. Ruby, P.W. Webb, and R.E. Young. We also acknowledge the following individuals for whose assistance in the publication of this paper has been invaluable: I. Kristo, A.E. Cottingham, S.A.O. Daida, C.R. Dulin, S.L. Homola, L.L. Lucas, B.E. Moore, D.C. Verson, and J.F. Vesecky. Bibliography [1] Amábile-Cuevas, C.F. and M.E. Chicurel, “Horizontal Gene Transfer.” 8 Symbionticism and Complex Adaptive Systems I American Scientist, 1992. 81(July–August): pp. 332–341. [2] Boerlijst, M. and P. 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